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arxiv: 0904.1393 · v2 · submitted 2009-04-08 · 🧮 math.CA · math.DS

Asymptotically linear solutions of differential equations via Lyapunov functions

classification 🧮 math.CA math.DS
keywords equationsdifferentialfunctionslyapunovsolutionsallowsapproachasymptotes
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We discuss the existence of solutions with oblique asymptotes to a class of second order nonlinear ordinary differential equations by means of Lyapunov functions. The approach is new in this field and allows for simpler proofs of general results regarding Emden-Fowler like equations.

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